Layer codes
DJ Williamson, N Baspin - Nature Communications, 2024 - nature.com
Quantum computers require memories that are capable of storing quantum information
reliably for long periods of time. The surface code is a two-dimensional quantum memory …
reliably for long periods of time. The surface code is a two-dimensional quantum memory …
Fault-tolerant logical measurements via homological measurement
B Ide, MG Gowda, PJ Nadkarni… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce homological measurement, a framework for measuring the logical Pauli
operators encoded in CSS stabilizer codes. The framework is based on the algebraic …
operators encoded in CSS stabilizer codes. The framework is based on the algebraic …
Universal adapters between quantum LDPC codes
We propose the repetition code adapter as a way to perform joint logical Pauli
measurements within a quantum low-density parity check (LDPC) codeblock or between …
measurements within a quantum low-density parity check (LDPC) codeblock or between …
Improved QLDPC Surgery: Logical Measurements and Bridging Codes
In this paper, we introduce the gauge-fixed QLDPC surgery scheme, an improved logical
measurement scheme based on the construction of Cohen et al.~(Sci.~ Adv.~ 8, eabn1717) …
measurement scheme based on the construction of Cohen et al.~(Sci.~ Adv.~ 8, eabn1717) …
Effective Distance of Higher Dimensional HGPs and Weight-Reduced Quantum LDPC Codes
SJS Tan, L Stambler - arXiv preprint arXiv:2409.02193, 2024 - arxiv.org
Quantum error correction plays a prominent role in the realization of quantum computation,
and quantum low-density parity-check (qLDPC) codes are believed to be practically useful …
and quantum low-density parity-check (qLDPC) codes are believed to be practically useful …
Single-shot preparation of hypergraph product codes via dimension jump
Y Hong - arXiv preprint arXiv:2410.05171, 2024 - arxiv.org
Quantum error correction is a fundamental primitive of fault-tolerant quantum computing. But
in order for error correction to proceed, one must first prepare the codespace of the …
in order for error correction to proceed, one must first prepare the codespace of the …
High-threshold, low-overhead and single-shot decodable fault-tolerant quantum memory
TR Scruby, T Hillmann, J Roffe - arXiv preprint arXiv:2406.14445, 2024 - arxiv.org
We present a new family of quantum low-density parity-check codes, which we call radial
codes, obtained from the lifted product of a specific subset of classical quasi-cyclic codes …
codes, obtained from the lifted product of a specific subset of classical quasi-cyclic codes …
Wire Codes
N Baspin, D Williamson - arXiv preprint arXiv:2410.10194, 2024 - arxiv.org
Quantum information is fragile and must be protected by a quantum error-correcting code for
large-scale practical applications. Recently, highly efficient quantum codes have been …
large-scale practical applications. Recently, highly efficient quantum codes have been …